Describe how the graph of the equation relates to the graph $$y = x ^ { 2 }$$
-$f ( x ) = - ( x + 6 ) ^ { 2 }$
A) a translation 6 units to the left and a reflection across the x-axis
B) a translation 6 units to the right and a reflection across the y-axis
C) a translation 6 units up and a reflection across the x-axis
D) a translation 6 units to the right and a reflection across the x-axis

Question

Quizplus · Accepted Answer

The equation $f(x) = -(x + 6)^2$ represents a translation 6 units to the left (due to the $x + 6$ term) and a reflection across the x-axis (due to the negative sign in front of the expression), matching choice A.

Describe How the Graph of the Equation Relates to the Graph